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Originally Posted by JakeD Aren't these two definitions saying the same thing in different words?
Yes, except the word "concave" does not apply. The set is not convex. |
No, one specifies the existence of a vector space, and the other leaves
us wondering about what it might mean by a segment for an arbitrary
space, and would the definition of convexity work if there were no segment.
Or maybe I am over analysing the question.
Anyway, if they are elements of a vector space there is no problem, the set is
not convex.
RonL